Motivic Igusa zeta functions
| dc.creator | Denef, J. | |
| dc.creator | Loeser, F. | |
| dc.date | 1998-03-11 | |
| dc.date.accessioned | 2026-07-07T08:47:35Z | |
| dc.date.available | 2026-07-07T08:47:35Z | |
| dc.description | We define motivic analogues of Igusa's local zeta functions. These functions take their values in a Grothendieck group of Chow motives. They specialize to p-adic Igusa local zeta functions and to the topological zeta functions we introduced several years ago. We study their basic properties, such as functional equations, and their relation with motivic nearby cycles. In particular the Hodge spectrum of a singular point of a function may be recovered from the Hodge realization of these zeta functions. | |
| dc.description | Revised September 1997, to appear in Journal of Algebraic Geometry, 34 pages | |
| dc.identifier | https://arxiv.org/abs/math/9803040 | |
| dc.identifier | http://arxiv.org/abs/math/9803040 | |
| dc.identifier | J. Algebraic Geom. 7 (1998), no. 3, 505--537 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143646 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14A15; 14A20; 14B05; 32S45; 32S05; 32S30; 32S35 | |
| dc.title | Motivic Igusa zeta functions | |
| dc.type | text |